Similar(59)
Given an arbitrary cut (L, R), we propose that r will be the least upper bound of L. The Least Upper Bound Axiom of the usual theory of the reals tells us that L has a least upper bound (L is nonempty and any element of R (which is also nonempty) is an upper bound of L, so L has a least upper bound).
But it still had value as a way to set an upper bound on the collision rate.
Secondly, it provides a minimized upper bound on the output.
Therefore, we use the current FAA regulation as a conservative upper bound for safety.
A new upper bound for the Damköhler number associated with diffusion controlled reaction rates is suggested.
We now discuss a useful upper bound.
we get a sharpen upper bound.
From this, we can obtain a throughput upper bound.
4, and which will lead to a tighter upper bound.
which provides a simple upper bound in closed-form.
Then becomes a true upper bound if the problem (19).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com